SOLUTION: A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. For the half life: The half life is the solution

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Question 1002171: A radio active isotope decays according to the exponential decay equation where t is in days.
Round to the thousandths place.
For the half life: The half life is the solution (t) of the equation : a2=ae^−6.345t

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
a2=ae^−6.345t
Make A2 = 1
A = 1
a2=ae^−6.345t
1 = 2e^-6.345t
1/2 = e^-6345t
0.5 = e^-6.345t
ln0.5 = -6.345t lne (lne = 1)
ln0.5 = -6.345t
t = ln0.5/-6.345
t = 0.109 of a day.
Hope this helps :-)